Consider the following recursive method.

public static void mysterious$($String s$,$ int index$)\{$

if $($index $>=0)\{$

System.out.print$($s$.$charAt$($index$))$;

mysterious$($s$,$ index $-1)$;

System.out.print$($s$.$charAt$($index$))$;

mysterious$($s$,$ index $-2)$;

$\}$

$\}$

$(7$ points$)$ Write down the recursion tree, representing the trace of method

mysterious, returned by the call mysterious$("$ENGL$",2).$

$(3$ points$)$ Show the resulting

output: